Results 31 to 40 of about 43,069 (282)
NULL CONTROLLABILITY OF DEGENERATE NONAUTONOMOUS PARABOLIC EQUATIONS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper we are interested in the study of the null controllability for the one dimensional degenerate non autonomous parabolic equation$$u_{t}-M(t)(a(x)u_{x})_{x}=h\chi_{\omega},\qquad (x,t)\in Q=(0,1)\times(0,T),$$ where $\omega=(x_{1},x_{2})$ is asmall nonempty open subset in $(0,1)$, $h\in L^{2}(\omega\times(0,T))$, the diffusion coefficients
Benaissa, Abbes +2 more
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Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain
, 2018 Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
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Expansion of positivity to a class of doubly nonlinear parabolic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2022 We establish the expansion of positivity of the nonnegative, local, weak solutions to the class of doubly nonlinear parabolic equations $$\partial_t (u^{q}) -\operatorname{div}{(|D u|^{p-2} D u)}=0, \qquad\ p>1 \ \text{and} \ q>0$$ considering ...
Eurica Henriques
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On the Cauchy problem for a degenerate parabolic differential equation
International Journal of Mathematics and Mathematical Sciences, 1998 The aim of this work is to prove the existence and the uniqueness of the solution of a degenerate parabolic equation. This is done using H. Tanabe and P.E. Sobolevsldi theory.
Ahmed El-Fiky
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Karpatsʹkì Matematičnì Publìkacìï, 2014 The paper found the explicit form of the fundamental solution of Cauchy problem for the equation of Kolmogorov type that has a finite number groups of spatial variables which are degenerate parabolic.
H.P. Malytska, I.V. Burtnyak
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Fundamental solutions for degenerate parabolic equations [PDF]
Acta Mathematica, 1974 This chapter explains the construction of a candidate for a fundamental solution and the existence, smoothness, and certain bounds for a fundamental solution Γ. The underlying assumptions were that ( a ij , ( x )) is uniformly positive definite and a ij , b i are bounded and uniformly Holder continuous. The chapter presents a proof of how if a ij ,
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Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Modelûvannâ, 2010 The classification of the weak solutions to Dirichlet initial boundary value problemassociated with a linear degenerate parabolic equation has been studied. Some applications to associated optimal control problems in coeffcients are discussed.
I. G. Balanenko, P. I. Kogut
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Asymptotic expansions for degenerate parabolic equations
Comptes Rendus. Mathématique, 2014 We prove asymptotic convergence results for some analytical expansions of solutions to degenerate PDEs with applications to financial mathematics. In particular, we combine short-time and global-in-space error estimates, previously obtained in the uniformly parabolic case, with some a priori bounds on “short cylinders”, and we achieve short-time ...
PASCUCCI, ANDREA +2 more
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Strong solutions of the thin film equation in spherical geometry
, 2017 We study existence and long-time behaviour of strong solutions for the thin film equation using a priori estimates in a weighted Sobolev space. This equation can be classified as a doubly degenerate fourth-order parabolic and it models coating flow on ...
A Burchard +11 more
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Advanced Engineering Materials, EarlyView.This study investigates the tribological response of 60NiTi alloy under dry, water‐lubricated and high‐temperature conditions. The alloy exhibits decreasing wear volume and friction with increasing temperature due to the formation of protective oxide layers. The work clarifies dominant wear mechanisms and demonstrates the suitability of 60NiTi for high‐
Anthony Onyebuchi Okoani +2 more
wiley +1 more source